I don't think using the AMD encoder will significantly impact your performance at all. Although I've only ever used NVENC so it might be different.
Now, if you want to just record locally you want to use CRF based rate control (no idea how Quick Sync calls it). Basically, if you use that the bitrate setting becomes the MAXIMUM bitrate, so you set it to something really high like 10000, then set the CRF (constant rate factor, meaning the desired quality) to some value around 20. Once again, I'm not sure how much control Quick Sync gives you over the rate factor.